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SUMMARY:Bilinear sums with $GL(2)$ coefficients and the exponent of distri
 bution of $d_3$
DTSTART:20230601T141500
DTEND:20230601T160000
DTSTAMP:20261001T233952Z
UID:dab32918e186197700dbc58a745246b71d03b927de420d42ec92a8c6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prahlad Sharma (Renyi Institute)\nWe obtain the exponent of di
 stribution $1/2+1/30$ for the ternary divisor function $d_3$ to square-fre
 e and prime power moduli\, improving the previous results of Fouvry--Kowal
 ski--Michel\, Heath-Brown\, and Friedlander--Iwaniec. The key input is cer
 tain estimates on bilinear sums with $GL(2)$ coefficients obtained using t
 he delta symbol approach.\n 
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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